91125000 has 196 divisors, whose sum is σ = 320210745. Its totient is φ = 24300000.

The previous prime is 91124983. The next prime is 91125017. The reversal of 91125000 is 52119.

The cubic root of 91125000 is 450.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (91124983) and next prime (91125017).

It can be written as a sum of positive squares in 4 ways, for example, as 15539364 + 75585636 = 3942^2 + 8694^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6750.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 18224998 + ... + 18225002.

Almost surely, 2^91125000 is an apocalyptic number.

91125000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91125000

91125000 is an abundant number, since it is smaller than the sum of its proper divisors (229085745).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91125000 is an frugal number, since it uses more digits than its factorization.

91125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 91125000 is about 9545.9415460184.

Multiplying 91125000 by its sum of digits (18), we get a square (1640250000 = 40500²).

91125000 divided by its sum of digits (18) gives a square (5062500 = 2250²).

Adding to 91125000 its reverse (52119), we get a palindrome (91177119).

The spelling of 91125000 in words is "ninety-one million, one hundred twenty-five thousand".